Mathematics, 05.02.2021 21:00 ranaaf

Darren is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 1 and 2 are similar.
Drag statements and reasons to complete the proof.

Answers: 2

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Answer from: Quest

don't give

take it once

try and try and you will not

happy to

pls mark as brainliest

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

the formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

we have the points (-2, 7) and (2, 3). substitute:

$m=\dfrac{3-7}{)}=\dfrac{-4}{2+2}=\dfrac{-4}{4}=-1$

answer: the slope is equal -1.

Answer from: Quest

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m= $\frac{b}{a}$ (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m= $\frac{-12}{20}$

m= $\frac{-3}{5}$

putting the value of a,b and m in equation (i) gives us

-12 = $\frac{-3}{5} *20$ + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

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Darren is proving that the slope between any two points on a straight line is the same. He has alre...